On the Theory of the Nonstationary Spherical Crystal Growth in Supercooled Melts and Supersaturated Solutions


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Abstract

A theory is developed to describe the nonstationarity growth of spherical crystals in supercooled melts and supersaturated solutions. The first two corrections to the fundamental contribution to the law of crystal growth rate are determined using differential series, the expansion of unknown functions in a small parameter, and the integral Laplace–Carson transform. These corrections are shown to substantially change the growth rate of spherical crystals in metastable liquids.

About the authors

D. V. Alexandrov

Ural Federal University

Author for correspondence.
Email: Dmitri.Alexandrov@urfu.ru
Russian Federation, Yekaterinburg, 620002

I. V. Alexandrova

Ural Federal University

Email: Dmitri.Alexandrov@urfu.ru
Russian Federation, Yekaterinburg, 620002

A. A. Ivanov

Ural Federal University

Email: Dmitri.Alexandrov@urfu.ru
Russian Federation, Yekaterinburg, 620002

A. P. Malygin

Ural Federal University

Email: Dmitri.Alexandrov@urfu.ru
Russian Federation, Yekaterinburg, 620002

I. O. Starodumov

Ural Federal University

Email: Dmitri.Alexandrov@urfu.ru
Russian Federation, Yekaterinburg, 620002

L. V. Toropova

Ural Federal University

Email: Dmitri.Alexandrov@urfu.ru
Russian Federation, Yekaterinburg, 620002

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